Details

sample57.0ms

Algorithm

intervals

Results

14.0ms	161×	body	160	valid
10.0ms	297×	body	80	nan
10.0ms	553×	pre	80	true
4.0ms	41×	body	320	valid
2.0ms	54×	body	80	valid

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	14	17
1	24	17
2	44	16
3	78	16
4	90	16
5	98	16
done	98	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b	(- (* b b) (* (* 4.0 a) c))
0.2b	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
41.0b	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
121×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
68×	`add-cube-cbrt`
26×	`difference-of-squares`
22×	`associate-/l*`
16×	`sqrt-prod`
13×	`distribute-lft-out--`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`pow1` `div-inv`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-/r*` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `div-sub`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`

Counts

4 → 149

Calls

4 calls:

4.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms	(- (* b b) (* (* 4.0 a) c))
39.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
18.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series305.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
44.0ms	(- (* b b) (* (* 4.0 a) c))
107.0ms	(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
82.0ms	(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify760.0ms

Counts

161 → 161

Iterations

Useful iterations: done (755.0ms)

Iter	Nodes	Cost
0	280	4083
1	665	3911
2	2176	3753
done	5000	3752

prune457.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.8b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune43.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
27×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-undiv` `div-exp`
8×	`associate-/l*`
6×	`associate-/r*` `div-inv`
5×	`prod-exp` `cbrt-unprod`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 73

Calls

2 calls:

3.0ms	(/ (* a c) b)
10.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series44.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (* a c) b)
25.0ms	(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify583.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (194.0ms)

Iter	Nodes	Cost
0	167	1164
1	440	1118
2	1943	956
done	5000	956

prune206.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 4.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ b (* a c))
0.3b	(/ 1 (/ b (* a c)))
0.3b	(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-exp-log`
69×	`times-frac`
49×	`div-exp`
44×	`add-cbrt-cube`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
23×	`cbrt-undiv`
17×	`prod-exp`
13×	`associate-/l*`
11×	`associate-/r*` `div-inv`
7×	`cbrt-unprod`
6×	`rec-exp` `1-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

3 → 137

Calls

3 calls:

3.0ms	(/ b (* a c))
6.0ms	(/ 1 (/ b (* a c)))
17.0ms	(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)

series62.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ b (* a c))
22.0ms	(/ 1 (/ b (* a c)))
20.0ms	(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)

simplify783.0ms

Counts

146 → 146

Iterations

Useful iterations: 2 (295.0ms)

Iter	Nodes	Cost
0	260	2152
1	682	1945
2	2499	1511
done	5001	1511

prune209.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 4.8b

regimes320.0ms

Accuracy

14.1% (6.1b remaining)

Error of 11.1b against oracle of 5.0b and baseline of 12.1b

bsearch53.0ms

Steps

Iters	Range		Point
6	0.00017659738910379716	0.0013183985859660308	0.00017936624356974993

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	39
1	32	39
done	32	39

end0.0ms

sample1.4s

Algorithm

intervals

Results

330.0ms	4850×	body	160	valid
289.0ms	16215×	pre	80	true
272.0ms	8215×	body	80	nan
136.0ms	1326×	body	320	valid
68.0ms	1824×	body	80	valid